Quantitative Techniques for Management
n n n
MBA First Year
n n n
Paper No. 6 n n
School of Distance Education
n n n
Bharathiar University, Coimbatore - 641 046
n n n n n
, Author:n Pn Nn Mishran & n Sn Jaisankar
Copyrightn ©n 2007,n Bharathiarn University
n Alln Rights n Reserved
Edited n by:nDr.nSubodhnKesharwani
n Produced n and n Printed
by
EXCEL n BOOKSn PRIVATE n LIMITED
A-45,n Naraina,n Phase-I,
Newn Delhi-
110028 n for
SCHOOLn OFn DISTANCEn EDUCATION
Bharathiar n University
n Coimbatore-641046
, CONTENTS
PagenNo.
Unitn-I
Lessonn1 Quantitative nTechniquesn– nIntroduction 7
Lessonn2 Measuresnof nCentral nTendency 24
Lessonn3 MathematicalnModel 110
Lessonn4 LinearnProgramming:nGraphical nMethod 119
Lessonn5 LinearnProgramming:nSimplex nMethod 143
Unitn-II
Lessonn6 TransportationnModel 167
Lessonn7 AssignmentnModel 209
Unitn-III
Lessonn8 NetworknModel 241
Lessonn9 Waiting nModel n(Queuing nTheory) 272
Unitn-IV
Lessonn10 Probability 299
Lessonn11 Theoretical nProbability nDistributions 359
Lessonn12 ProbabilitynDistributionnof na nRandomnVariable 409
Unit-V
Lessonn13 InventorynModel 449
Lessonn14 GamenTheory 472
Lessonn15 Simulation 495
, QUANTITATIVEnTECHNIQUESnFORnMANAGEMENT
Numbernof nCreditnHoursn:n3 n(Three)
SubjectnDescription:nThis n coursen presentsn then variousn mathematicaln models,n networking,n probability,n in
ventoryn modelsn andn simulations n forn managerialn decisions.
Goals:n Ton enablen then students n ton learnn techniques n ofn operations n researchn andn resources n managemen
tn andn theirn applicationn inn decisionn makingn inn then management.
Objectives:n Onn successfuln completionn ofn then coursen then students n shouldn have:
1. Understoodn then basicn ofn then quantitativen techniques.
2. Learntn then feasiblen solutionn andn optimumn solutionn forn then resourcen management.
3. Learntn then timen estimationn andn criticaln pathn forn project.
4. Learntn aboutn then applicationn ofn probabilityn techniques n inn then decisionn making.
5. Learntn then various n inventoryn models n andn simulations n inn then resourcen planningn andn management.
UNITnI
QTn –n Introductionn –n Measures n ofn Centraln Tendencyn –n Mean,n Median,n Mode.
Mathematicaln Models n –n deterministicn andn probabilisticn –n simplen business n examples n –
n ORn andn optimizationn models n –n Linearn Programmingn –n formulationn –n graphicaln solutionn –
simplexn –n solution.
UNITnII
Transportationn modeln –n Initialn Basicn Feasiblen solutions n –n optimumn solutionn forn nonn –
n degeneracyn andn degeneracyn modeln –n Trans-shipmentn Modeln –n Assignmentn Modeln –
n Travellingn Salesmenn problem.
UNITnIII
Networkn Modeln –n networkingn –n CPMn –n criticaln pathn –n Timen estimates n –n criticaln pathn –
n crashing,n Resourcen levelling,n Resources n planning.n Waitingn Linen Modeln –n Structuren ofn modeln –
n M/M/1n forn infiniten population.
UNITnIV
Probabilityn –n definitions n –n additionn andn multiplicationn Rules n (onlyn statements)n –
n simplen business n applicationn problems n –n probabilityn distributionn –n expectedn valuen conceptn –
n theoreticaln probabilityn distributions n –n Binomial,n Poisonn andn Normaln –
n Simplen problems n appliedn ton business.
UNITnV
Inventoryn Models n –n Deterministicn –n EOQ n –n EOQn withn Pricen Breaksn –n Probabilisticn Inventoryn Models
-n Probabilisticn EOQ n modeln –n Gamen theory-
zeron sumn games:n Arithmeticn andn Graphicaln Method.n Simulationn –n typesn ofn simulationn –
n Monten Carlon simulationn –n simulationn problems.
Decisionn Theoryn –n Payn offn tablesn –n decisionn criterian –n decisionn trees.
n n n
MBA First Year
n n n
Paper No. 6 n n
School of Distance Education
n n n
Bharathiar University, Coimbatore - 641 046
n n n n n
, Author:n Pn Nn Mishran & n Sn Jaisankar
Copyrightn ©n 2007,n Bharathiarn University
n Alln Rights n Reserved
Edited n by:nDr.nSubodhnKesharwani
n Produced n and n Printed
by
EXCEL n BOOKSn PRIVATE n LIMITED
A-45,n Naraina,n Phase-I,
Newn Delhi-
110028 n for
SCHOOLn OFn DISTANCEn EDUCATION
Bharathiar n University
n Coimbatore-641046
, CONTENTS
PagenNo.
Unitn-I
Lessonn1 Quantitative nTechniquesn– nIntroduction 7
Lessonn2 Measuresnof nCentral nTendency 24
Lessonn3 MathematicalnModel 110
Lessonn4 LinearnProgramming:nGraphical nMethod 119
Lessonn5 LinearnProgramming:nSimplex nMethod 143
Unitn-II
Lessonn6 TransportationnModel 167
Lessonn7 AssignmentnModel 209
Unitn-III
Lessonn8 NetworknModel 241
Lessonn9 Waiting nModel n(Queuing nTheory) 272
Unitn-IV
Lessonn10 Probability 299
Lessonn11 Theoretical nProbability nDistributions 359
Lessonn12 ProbabilitynDistributionnof na nRandomnVariable 409
Unit-V
Lessonn13 InventorynModel 449
Lessonn14 GamenTheory 472
Lessonn15 Simulation 495
, QUANTITATIVEnTECHNIQUESnFORnMANAGEMENT
Numbernof nCreditnHoursn:n3 n(Three)
SubjectnDescription:nThis n coursen presentsn then variousn mathematicaln models,n networking,n probability,n in
ventoryn modelsn andn simulations n forn managerialn decisions.
Goals:n Ton enablen then students n ton learnn techniques n ofn operations n researchn andn resources n managemen
tn andn theirn applicationn inn decisionn makingn inn then management.
Objectives:n Onn successfuln completionn ofn then coursen then students n shouldn have:
1. Understoodn then basicn ofn then quantitativen techniques.
2. Learntn then feasiblen solutionn andn optimumn solutionn forn then resourcen management.
3. Learntn then timen estimationn andn criticaln pathn forn project.
4. Learntn aboutn then applicationn ofn probabilityn techniques n inn then decisionn making.
5. Learntn then various n inventoryn models n andn simulations n inn then resourcen planningn andn management.
UNITnI
QTn –n Introductionn –n Measures n ofn Centraln Tendencyn –n Mean,n Median,n Mode.
Mathematicaln Models n –n deterministicn andn probabilisticn –n simplen business n examples n –
n ORn andn optimizationn models n –n Linearn Programmingn –n formulationn –n graphicaln solutionn –
simplexn –n solution.
UNITnII
Transportationn modeln –n Initialn Basicn Feasiblen solutions n –n optimumn solutionn forn nonn –
n degeneracyn andn degeneracyn modeln –n Trans-shipmentn Modeln –n Assignmentn Modeln –
n Travellingn Salesmenn problem.
UNITnIII
Networkn Modeln –n networkingn –n CPMn –n criticaln pathn –n Timen estimates n –n criticaln pathn –
n crashing,n Resourcen levelling,n Resources n planning.n Waitingn Linen Modeln –n Structuren ofn modeln –
n M/M/1n forn infiniten population.
UNITnIV
Probabilityn –n definitions n –n additionn andn multiplicationn Rules n (onlyn statements)n –
n simplen business n applicationn problems n –n probabilityn distributionn –n expectedn valuen conceptn –
n theoreticaln probabilityn distributions n –n Binomial,n Poisonn andn Normaln –
n Simplen problems n appliedn ton business.
UNITnV
Inventoryn Models n –n Deterministicn –n EOQ n –n EOQn withn Pricen Breaksn –n Probabilisticn Inventoryn Models
-n Probabilisticn EOQ n modeln –n Gamen theory-
zeron sumn games:n Arithmeticn andn Graphicaln Method.n Simulationn –n typesn ofn simulationn –
n Monten Carlon simulationn –n simulationn problems.
Decisionn Theoryn –n Payn offn tablesn –n decisionn criterian –n decisionn trees.