LEADER 03489nam 2200541Ia 450 001 9910959671203321 005 20251116181605.0 010 $a1-60876-533-4 035 $a(CKB)2550000001041384 035 $a(EBL)3018561 035 $a(SSID)ssj0000835952 035 $a(PQKBManifestationID)11457660 035 $a(PQKBTitleCode)TC0000835952 035 $a(PQKBWorkID)10996881 035 $a(PQKB)10486609 035 $a(MiAaPQ)EBC3018561 035 $a(Au-PeEL)EBL3018561 035 $a(CaPaEBR)ebr10660422 035 $a(OCoLC)844348510 035 $a(BIP)23681228 035 $a(EXLCZ)992550000001041384 100 $a20090709d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProbabilistic models in operations research /$fSilviu Guiasu 205 $a1st ed. 210 $aNew York $cNova Science Publishers$dc2009 215 $a1 online resource (300 p.) 300 $aDescription based upon print version of record. 311 08$a1-60692-233-5 320 $aIncludes bibliographical references (p. 286-288) and index. 327 $aIntro -- PROBABILISTIC MODELS INOPERATIONS RESEARCH -- PROBABILISTIC MODELS INOPERATIONS RESEARCH -- Contents -- INTRODUCTION -- Chapter 1. GAME THEORY -- ABSTRACT -- 1. Generalities -- 2. Pure strategies -- 3. Mixed strategies -- 4. Graphical method -- 5. Brown's algorithm -- 6. The linear programs induced by a two-person zero-sum game -- 7. Computer tips -- 1. LINDO. -- 2. SAS-OR. -- 3. EXCEL. -- 4. MATHEMATICA. -- 8. Prisoner's dilemma -- 9. n-person games -- Chapter 2. DECISION THEORY -- ABSTRACT -- 1. Generalities -- 2. Oil-drilling example -- 3. Decision without experimentation -- 4. Decision with experimentation -- 5. Risk function -- 6. Computer tips -- 1 FORTRAN. -- 2. MATHEMATICA. -- 7. Multiple-stage decision -- A variant of the decision tree problem. -- Chapter 3. SIMULATION -- ABSTRACT -- 1. Generalities -- 2. Minitab -- 3. Random numbers -- 4. Sampling from discrete probability distributions -- 5. Sampling from continuous probability distributions -- 6. Monte Carlo method -- Chapter 4. RELIABILITY -- ABSTRACT -- 1. Structure function -- 2. Exact reliability -- 3. Bounds for reliability -- 4. Lifetime -- Chapter 5. QUEUEING SYSTEMS -- ABSTRACT -- 1. Generalities -- 2. Steady state condition -- 3. M=M=1 with constant mean arrival rate and constant meanservice rate -- 4. M=M=s with constant mean arrival rate and constant meanservice rate per busy server -- 5. Waiting time -- 6. Finite queue -- 7. Finite input source -- 8. Other queueing systems -- 9. Number of arrivals during the time-interval [0 -- t] -- 10. Computer tips -- 11. Simulation -- APPENDIX -- The dual theorem -- References -- Index. 330 $aOperations Research, often abbreviated as OR, is a branch of Applied Mathematics. Its aim is to optimise mathematical models of reality involving probabilistic uncertainty and its results are applied to real life problems. This book intends to cover the main chapter of the OR probablisitc models based on optimisation. 606 $aOperations research 606 $aProbabilities 615 0$aOperations research. 615 0$aProbabilities. 700 $aGuiasu$b Silviu$026318 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910959671203321 996 $aProbabilistic models in operations research$94481243 997 $aUNINA