<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AJOR</journal-id><journal-title-group><journal-title>American Journal of Operations Research</journal-title></journal-title-group><issn pub-type="epub">2160-8830</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ajor.2014.44018</article-id><article-id pub-id-type="publisher-id">AJOR-47675</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Elimination of Post-Operative Complications in Penetrating Keratoplasty by Deploying Six Sigma
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>brahim</surname><given-names>Şahbaz</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mehmet</surname><given-names>Tolga Taner</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Üzeyir</surname><given-names>Tolga Şahandar</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gamze</surname><given-names>Kağan</given-names></name><xref ref-type="aff" rid="aff4"><sup>4</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Engin</surname><given-names>Erbaş</given-names></name><xref ref-type="aff" rid="aff5"><sup>5</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Opticianry, Uskudar University, Istanbul, Turkey</addr-line></aff><aff id="aff5"><addr-line>Institute of Health Sciences, Uskudar University, Istanbul, Turkey</addr-line></aff><aff id="aff4"><addr-line>Department of Occupational Health and Safety, Uskudar University, Istanbul, Turkey</addr-line></aff><aff id="aff2"><addr-line>Department of Healthcare Management, Uskudar University, Istanbul, Turkey</addr-line></aff><aff id="aff3"><addr-line>Isparta State Hospital, Isparta, Turkey</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>mehmettolga.taner@uskudar.edu.tr(MTT)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>09</day><month>07</month><year>2014</year></pub-date><volume>04</volume><issue>04</issue><fpage>189</fpage><lpage>196</lpage><history><date date-type="received"><day>23</day>	<month>May</month>	<year>2014</year></date><date date-type="rev-recd"><day>25</day>	<month>June</month>	<year>2014</year>	</date><date date-type="accepted"><day>2</day>	<month>July</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   This paper shows how a public eye and research hospital in Turkey initiated Six Sigma principles to reduce the number of complications occurring after penetrating keratoplasty surgeries. Data were collected for nine years. To analyse the complications among 55 patients (59 eyes) underwent penetrative keratoplasty, main tools of Six Sigma’s Define-Measure-Analyze-Improve-Control (DMAIC) improvement cycle such as SIPOC table and Failure, Mode and Effect Analysis (FMEA) were implemented. Sources and root causes of eleven types of complications were identified and reported. For a successful penetrating keratoplasty surgery patient’s anatomy, suitability of donor cornea, experience of ophthalmic surgeon, sterilization and hygiene, and performance of the equipment were determined to be the “critical-to-quality” factors. The complication with the highest hazard score was found to be the glaucoma. The process sigma level of the process was measured to be 3.1418. The surgical team concluded that all types of post-operative complications should be significantly reduced by taking the necessary preventive measures. 
 
</p></abstract><kwd-group><kwd>Six Sigma</kwd><kwd> Ophthalmology</kwd><kwd> Penetrating Keratoplasty Surgery</kwd><kwd> Post-Operative Complications</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Corneal eye disease is the fourth most common cause of blindness after cataracts, glaucoma and age-related ma- cular degeneration, affecting more than 10,000,000 people worldwide. Since the first successful human corneal transplant performance in 1905, the cornea transplants have become the most successful and the most common solid tissue transplant with 600,000 procedures performed in the United States over the past 40 years and [<xref ref-type="bibr" rid="scirp.47675-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.47675-ref2">2</xref>] . In 2013, more than 47,361 corneal transplants were performed in the United States resulting in nearly $6 billion in total net benefits over the lifetime of the recipients [<xref ref-type="bibr" rid="scirp.47675-ref3">3</xref>] .</p><p>Penetrating Keratoplasty (PKP) is a standard full thickness transplant that involves the surgical removal of the central two-thirds of the damaged cornea. With changes in medical and surgical management, one expects a de- crease in the number of complications after PKP surgery. Although the surgical procedure restores vision and also relieves pain and suffering caused by injured and diseased cornea with high success rate, studies continue to show many post-operative complications such as wound leaks, malpositioning of the donor cornea, suture ex- posure and infections, infiltration of immune due to suture, persistent epithelial defect, filamentary keratitis, pri- mary endothelial insufficiency, glaucoma, cataract, acute choroidal detachment, epithelial down growth, fix di- lated pupils, refractive changes, graft infections, recurrent disease, shallow anterior chamber, graft rejection, hypotony, cystoid macular edema, endophtalmitis and sympathetic ophthalmia [<xref ref-type="bibr" rid="scirp.47675-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.47675-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.47675-ref11">11</xref>] . In addition, residual astigmatism after PKP surgery may limit postoperative visual function and be the cause of decreased patient sa- tisfaction in the presence of a clear graft [<xref ref-type="bibr" rid="scirp.47675-ref12">12</xref>] . When these complications occur, proper and prompt management is essential. Preventative measures will result in earlier visual rehabilitation and greater long-term graft survival.</p><p>PKP surgery shows an overall positive prognosis in the long term [<xref ref-type="bibr" rid="scirp.47675-ref13">13</xref>] . Therefore, ophthalmic surgeons are in a critical position and must be aware of all types of complications that may occur, how to avoid them and how to manage them to ensure the best possible outcomes.</p><p>The use of Six Sigma, as a quality improvement method, can improve the surgical safety, efficiency and ac- curacy of many ophthalmic surgeries [<xref ref-type="bibr" rid="scirp.47675-ref14">14</xref>] . In this study, the development a Six Sigma infrastructure in a Turkish public eye and research hospital to improve the PKP surgery process will be shown. In addition, sigma level of each type of complication will be calculated and reported.</p></sec><sec id="s2"><title>2. Method</title>Six Sigma Methodology<p>As a quality improvement method, Six Sigma can be employed in order to eliminate complications encountered during and after many ophthalmic surgeries [<xref ref-type="bibr" rid="scirp.47675-ref15">15</xref>] . Originally initiated by Motorola, Honeywell and General Electric [<xref ref-type="bibr" rid="scirp.47675-ref16">16</xref>] , Six Sigma is a powerful performance improvement tool that is improving the outcomes of modern healthcare processes today [<xref ref-type="bibr" rid="scirp.47675-ref17">17</xref>] . Although it was initially introduced in manufacturing processes, it is being im- plemented in diagnostic imaging processes [<xref ref-type="bibr" rid="scirp.47675-ref18">18</xref>] - [<xref ref-type="bibr" rid="scirp.47675-ref20">20</xref>] , emergency room [<xref ref-type="bibr" rid="scirp.47675-ref21">21</xref>] , paramedic backup [<xref ref-type="bibr" rid="scirp.47675-ref22">22</xref>] , laboratory [<xref ref-type="bibr" rid="scirp.47675-ref23">23</xref>] , cataract surgery [<xref ref-type="bibr" rid="scirp.47675-ref15">15</xref>] radiology [<xref ref-type="bibr" rid="scirp.47675-ref24">24</xref>] , surgical site infections [<xref ref-type="bibr" rid="scirp.47675-ref25">25</xref>] , Intra Lase surgery [<xref ref-type="bibr" rid="scirp.47675-ref26">26</xref>] , LASIK surgery [<xref ref-type="bibr" rid="scirp.47675-ref27">27</xref>] , strabismus surgery [<xref ref-type="bibr" rid="scirp.47675-ref28">28</xref>] , intravitreal injections [<xref ref-type="bibr" rid="scirp.47675-ref29">29</xref>] , cataract surgery in patients with pseudoexfoliation syndrome [<xref ref-type="bibr" rid="scirp.47675-ref30">30</xref>] , pars plana vitrectomy [<xref ref-type="bibr" rid="scirp.47675-ref31">31</xref>] , phacoemulsification cataract surgery [<xref ref-type="bibr" rid="scirp.47675-ref32">32</xref>] , and stent insertion [<xref ref-type="bibr" rid="scirp.47675-ref14">14</xref>] as an effective way to improve quality, performance and productivity.</p><p>A Six Sigma process produces 3.4 defects per one million opportunities (DPMO) [<xref ref-type="bibr" rid="scirp.47675-ref33">33</xref>] . To eliminate defects, Six Sigma makes use of a structured methodology called DMAIC to find the root causes behind problems and to reach near perfect processes [<xref ref-type="bibr" rid="scirp.47675-ref34">34</xref>] . DMAIC can analyze and modify complicated time-sensitive healthcare pro- cesses involving multiple specialists and treatment areas by identifying and eliminating root causes of defects, errors or complications and thus minimizing healthcare process variability [<xref ref-type="bibr" rid="scirp.47675-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.47675-ref33">33</xref>] .</p><p>To achieve this, normal distribution underlies Six Sigma’s statistical assumptions [<xref ref-type="bibr" rid="scirp.47675-ref22">22</xref>] . An empirically-based 1.5 sigma shift is introduced into the calculation [<xref ref-type="bibr" rid="scirp.47675-ref22">22</xref>] . DPMO is calculated from Equation (1) as follows:</p><disp-formula id="scirp.47675-formula1"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1040319x6.png"  xlink:type="simple"/></disp-formula><p>where A is the total number of PKP surgeries performed and B is the total number of post-operative complica- tions occurred.</p><p>The higher level of sigma after the initiation of Six Sigma indicates a lower rate of post-operative complica- tions and a more efficient process.</p></sec><sec id="s3"><title>3. Analysis</title>Application of DMAIC for PKP Surgery<p>The eye care center decided that Six Sigma is the best way to achieve their goals. A surgical team was assembled and trained in the methodology. Committed and consistent leadership to overcome the complications was as- sured by this team. The surgical team firstly generated a SIPOC (Supplier, Input, Process, Output and Customer) <xref ref-type="table" rid="table">Table </xref>for penetrative keratoplasty surgery process (<xref ref-type="table" rid="table">Table </xref>1).</p><p>The surgical team defined three postoperative performance objectives, namely improved visual acuity, excel- lent prognosis and clear cornea. They also defined a “complication” as any unwanted outcome inhibiting the pa- tient to be cured and stable which compounds the illness and decreases the patient’s quality of life or prolongs the planned hospital stay [<xref ref-type="bibr" rid="scirp.47675-ref14">14</xref>] . To achieve the performance objective, the surgical team first determined the Criti- cal-to-Quality (CTQ) factors by brainstorming. The CTQ factors were those factors that may have an influence on the objective.</p><p>The surgical team determined the metrics to measure existing process. The metrics to be chosen for a Six Sigma study were:</p><p>1) Total number of PKP surgeries performed in the eye care center,</p><p>2) Number of post-operative complications.</p><p>Data were collected for a period of 9-year on 23 females and 32 males [<xref ref-type="bibr" rid="scirp.47675-ref35">35</xref>] . In this period, PKP surgeries were performed on 59 eyes. Patients were aged between 8 and 78 with an average of 45.08. Complications had been noted as they occurred. The surgical team followed up the patients for 12 months and identified eleven types of complications and classified them as how soon they occur, i.e. acute and/or sub-acute and/or chronic (<xref ref-type="table" rid="table">Table </xref>2). Sources (<xref ref-type="table" rid="table">Table </xref>3) and root-causes (<xref ref-type="table" rid="table">Table </xref>4) of these complications were tabulated by type.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table">Table </xref>1</label><caption><title> SIPOC table for PKP surgery</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >SUPPLIER</th><th align="center" valign="middle" >INPUT</th><th align="center" valign="middle" >PROCESS</th><th align="center" valign="middle" >OUTPUT</th><th align="center" valign="middle" >CUSTOMER</th></tr></thead><tr><td align="center" valign="middle" >Ophthalmic surgeon</td><td align="center" valign="middle" >Patient</td><td align="center" valign="middle" >Preoperative evaluation</td><td align="center" valign="middle" >Improved visual acuity</td><td align="center" valign="middle" >Patient</td></tr><tr><td align="center" valign="middle" >Nurse</td><td align="center" valign="middle" >Donor’s cornea</td><td align="center" valign="middle" >Evaluation of donor’s cornea</td><td align="center" valign="middle" >Excellent prognosis</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Technician</td><td align="center" valign="middle" >Surgical material (suture and viscoelastic)</td><td align="center" valign="middle" >Preoperative regulation of vascular pressure</td><td align="center" valign="middle" >Clear cornea</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >Keratoplasty equipment</td><td align="center" valign="middle" >Trepanation of donor’s cornea</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >Trepanation of receiver eye</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table">Table </xref>2</label><caption><title> Post-operative complications experienced</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Complication</th><th align="center" valign="middle" >Acute</th><th align="center" valign="middle" >Sub-Acute</th><th align="center" valign="middle" >Chronic</th></tr></thead><tr><td align="center" valign="middle" >Type I</td><td align="center" valign="middle" >Glaucoma</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type II</td><td align="center" valign="middle" >Primary graft failure</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type III</td><td align="center" valign="middle" >Graft rejection</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type IV</td><td align="center" valign="middle" >Infectious keratitis and suture abscesses</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type V</td><td align="center" valign="middle" >Posterior capsule opafication</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type VI</td><td align="center" valign="middle" >Anterior synechiae</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type VII</td><td align="center" valign="middle" >Cystoid macular edema</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type VIII</td><td align="center" valign="middle" >Persistent epithelial defects</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type IX</td><td align="center" valign="middle" >Corneal abscess</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type X</td><td align="center" valign="middle" >Wound leaks and iris tissue prolapse</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type XI</td><td align="center" valign="middle" >Acute choroidal detachment</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table">Table </xref>3</label><caption><title> Sources of post-operative complications</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Surgeon</th><th align="center" valign="middle" >Staff</th><th align="center" valign="middle" >Patient</th><th align="center" valign="middle" >Equipment</th><th align="center" valign="middle" >Donor Cornea</th></tr></thead><tr><td align="center" valign="middle" >Type I</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type II</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type III</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type IV</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type V</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VI</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VII</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VIII</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type IX</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type XI</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table">Table </xref>4</label><caption><title> Root-causes of post-operative complications</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Experience of Ophthalmic Surgeon</th><th align="center" valign="middle" >Suitability of Donor Cornea</th><th align="center" valign="middle" >Sterilization and Hygiene</th><th align="center" valign="middle" >Patient’s Anatomy</th><th align="center" valign="middle" >Performance of Equipment</th></tr></thead><tr><td align="center" valign="middle" >Type I</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type II</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type III</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type IV</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type V</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VI</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VII</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type VIII</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type IX</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" >X</td></tr><tr><td align="center" valign="middle" >Type X</td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Type XI</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" >X</td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><p>The incidence of complications depended on multiple sources of variables. Measurement variables, surgeon variables, staff variables, patient variables and equipment variables were all evaluated when attempting to assess the root-cause of a complication (<xref ref-type="table" rid="table">Table </xref>3 and <xref ref-type="table" rid="table">Table </xref>4).</p><p>The surgical team analyzed the occurrence frequency of each complication (<xref ref-type="table" rid="table">Table </xref>4) and related them with the root-causes on <xref ref-type="table" rid="table">Table </xref>3. The analysis revealed that Types I, II and III were the three most frequently occur- ring complications in the PKP surgeries. Then, the CTQs are classified as “vital few factors” and “trivial many factors” according to how frequent they caused the complications. The “vital few” factors, i.e. the factors that had the most impact on the success of PKP surgery were determined to be patient’s anatomy and donor cornea. The other factors, i.e. experience of ophthalmic surgeon, sterilization and hygiene, and equipment were found to be the “trivial many” factors.</p></sec><sec id="s4"><title>4. Discussion</title><p>The surgical team calculated the current DPMO and sigma levels for each complication type (<xref ref-type="table" rid="table">Table </xref>5). The process sigma level, calculated as the arithmetic average of eleven complications, was found to be 3.1418.</p><p>The highest sigma level was obtained for Types X and XI. The lowest sigma level was found to be belong to Type I. Having sigma levels lower than 4.00, all types of complications were alarming to be significantly re- duced.</p><p>Risk assessment of PKP surgeries was achieved by FMEA. Utilization of the FMEA involved break down the process into individual steps: potential failure modes (i.e. complications), severity score, probability score, ha- zard score, criticality and detection, so that the surgery team could look at key drivers in the process based on the past experience.</p><p>Complication trends and their consequences over a 9-year period had been monitored and recorded. Surgical team prioritized the complications according to how serious their consequences were (i.e. severity score), how frequently they occurred (i.e. probability score) and how easily they could be detected. Hazard analysis was em- ployed in order to identify failure modes and their causes and effects. The surgery team determined the severity of each complication and assigned scores for them. The severity of each complication was scored from 1 to 4 (<xref ref-type="table" rid="table">Table </xref>6).</p><p>For each complication type, the hazard score was calculated by multiplying the severity score with the proba- bility score. Consequently, an FMEA table was drawn (<xref ref-type="table" rid="table">Table </xref>7). Among the complications, Type I yielded the highest hazard score. Types VI and VII were equally hazardous complications and so were Types VIII and IX. According to FMEA, Type X was the least hazardous complication.</p><p>The surgical team developed preventative measures for each type of complication in order to bring the overall process under control. They implemented a corrective action plan to reduce and/or eliminate the complications (See Appendix).</p></sec><sec id="s5"><title>5. Conclusions</title><p>In this study, authors identified and reported eleven types of post-operative complications encountered after PKP surgeries. These complications were almost always related to events that had occurred during surgery. The process sigma level of the overall process (i.e. cataract surgeries made in 9 years) was measured to be 3.1418.</p><p>Many complications were related to the suitability of the donor cornea and patient’s anatomy. Other root- causes were determined to be experience of ophthalmic surgeons, performance of equipment, and hygiene and</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table">Table </xref>5</label><caption><title> Cumulative frequency, DPMO and sigma levels</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Count</th><th align="center" valign="middle" >Frequency (%)</th><th align="center" valign="middle" >DPMO</th><th align="center" valign="middle" >Sigma Level</th></tr></thead><tr><td align="center" valign="middle" >Type I</td><td align="center" valign="middle" >13</td><td align="center" valign="middle" >27.12</td><td align="center" valign="middle" >271186</td><td align="center" valign="middle" >2.11</td></tr><tr><td align="center" valign="middle" >Type II</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >10.17</td><td align="center" valign="middle" >101695</td><td align="center" valign="middle" >2.77</td></tr><tr><td align="center" valign="middle" >Type III</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >6.78</td><td align="center" valign="middle" >67797</td><td align="center" valign="middle" >2.99</td></tr><tr><td align="center" valign="middle" >Type IV</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >6.78</td><td align="center" valign="middle" >67797</td><td align="center" valign="middle" >2.99</td></tr><tr><td align="center" valign="middle" >Type V</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >5.08</td><td align="center" valign="middle" >50847</td><td align="center" valign="middle" >3.14</td></tr><tr><td align="center" valign="middle" >Type VI</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3.39</td><td align="center" valign="middle" >33898</td><td align="center" valign="middle" >3.33</td></tr><tr><td align="center" valign="middle" >Type VII</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3.39</td><td align="center" valign="middle" >33898</td><td align="center" valign="middle" >3.33</td></tr><tr><td align="center" valign="middle" >Type VIII</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3.39</td><td align="center" valign="middle" >33898</td><td align="center" valign="middle" >3.33</td></tr><tr><td align="center" valign="middle" >Type IX</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >3.39</td><td align="center" valign="middle" >33898</td><td align="center" valign="middle" >3.33</td></tr><tr><td align="center" valign="middle" >Type X</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1.69</td><td align="center" valign="middle" >16949</td><td align="center" valign="middle" >3.62</td></tr><tr><td align="center" valign="middle" >Type XI</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1.69</td><td align="center" valign="middle" >16949</td><td align="center" valign="middle" >3.62</td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table">Table </xref>6</label><caption><title> Severity scores</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Severity Score</th><th align="center" valign="middle" >4</th><th align="center" valign="middle" >3</th><th align="center" valign="middle" >2</th><th align="center" valign="middle" >1</th></tr></thead><tr><td align="center" valign="middle" >Severity of Complication</td><td align="center" valign="middle" >Death or Permanent harm</td><td align="center" valign="middle" >Temporary harm</td><td align="center" valign="middle" >Bias</td><td align="center" valign="middle" >No harm</td></tr></tbody></table></table-wrap><table-wrap id="table7" ><label><xref ref-type="table" rid="table">Table </xref>7</label><caption><title> FMEA table</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Complication Type</th><th align="center" valign="middle"  colspan="3"  >Hazard Analysis</th><th align="center" valign="middle"  colspan="2"  >Decision Tree Analysis</th></tr></thead><tr><td align="center" valign="middle" >Severity Score</td><td align="center" valign="middle" >Probability Score</td><td align="center" valign="middle" >Hazard Score</td><td align="center" valign="middle" >Critical?</td><td align="center" valign="middle" >Detectable?</td></tr><tr><td align="center" valign="middle" >Type I</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0.2712</td><td align="center" valign="middle" >0.5424</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type II</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >0.1017</td><td align="center" valign="middle" >0.4068</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >No</td></tr><tr><td align="center" valign="middle" >Type III</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >0.0678</td><td align="center" valign="middle" >0.2712</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >No</td></tr><tr><td align="center" valign="middle" >Type IV</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.0678</td><td align="center" valign="middle" >0.2034</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type V</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.0508</td><td align="center" valign="middle" >0.0508</td><td align="center" valign="middle" >No</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type VI</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0.0339</td><td align="center" valign="middle" >0.0678</td><td align="center" valign="middle" >No</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type VII</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0.0339</td><td align="center" valign="middle" >0.0678</td><td align="center" valign="middle" >No</td><td align="center" valign="middle" >No</td></tr><tr><td align="center" valign="middle" >Type VIII</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.0339</td><td align="center" valign="middle" >0.1017</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type IX</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.0339</td><td align="center" valign="middle" >0.1017</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type X</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.0169</td><td align="center" valign="middle" >0.0169</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >Yes</td></tr><tr><td align="center" valign="middle" >Type XI</td><td align="center" valign="middle" >4</td><td align="center" valign="middle" >0.0169</td><td align="center" valign="middle" >0.0676</td><td align="center" valign="middle" >Yes</td><td align="center" valign="middle" >No</td></tr></tbody></table></table-wrap><p>sterilization. The complication rates were reduced as ophthalmic surgeons gained experience and was trained on how to identify, minimize or eliminate the sources and root-causes of the complications. Sterilization of the op- erating room, equipment and instruments as well as the regular maintenance and calibration of the equipment were also essential.</p><p>Nonetheless, the surgical team concluded that the risks associated with PKP surgery could be minimized by taking the necessary preventative measures with appropriate preoperative, intraoperative and postoperative care.</p></sec><sec id="s6"><title>Cite this paper</title><p>İbrahimŞahbaz,Mehmet TolgaTaner,&#220;zeyir TolgaŞahandar,GamzeKağan,EnginErbaş, (2014) Elimination of Post-Operative Complications in Penetrating Keratoplasty by Deploying Six Sigma. American Journal of Operations Research,04,189-196. doi: 10.4236/ajor.2014.44018</p></sec><sec id="s7"><title>Appendix</title></sec><sec id="s8"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.47675-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Krachmer, J.H., Mannis, M.J. and Holland, E.J. (2005) Cornea. 2nd Edition, Elsevier, Mosby.</mixed-citation></ref><ref id="scirp.47675-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Al-Yousuf, N., Mavrikakis, I., Mavrikakis, E. and Daya, S.M. (2004) Penetrating Keratoplasty: Indications over a 10-Year Period. 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