Optimal schedule on a single machine using various due date determination methods

Abstract The problems related to due date determination for jobs in a production system have received considerable attention from practicing managers and academic researchers due to advances in manufacturing systems such as Flexible Manufacturing Systems and the introduction of new methods of inventory management such as Just-In-Time systems. In this paper, we provide a unified approach based on linear programming to determine the optimal sequence and the corresponding optimal due date(s) in a single machine system. Three due date determination methods are discussed, namely, (i) constant flow allowance (CON), (ii) slack time (SLK), and (iii) total work content (TWK) and solution approaches are suggested.

[1]  A. J. Clewett,et al.  Introduction to sequencing and scheduling , 1974 .

[2]  Mahesh Gupta,et al.  Optimal scheduling of jobs about a common due date on a single machine , 1991 .

[3]  T. C. E. Cheng,et al.  Optimal Due-Date Determination and Sequencing of n Jobs on a Single Machine , 1984 .

[4]  T.C.E. Cheng,et al.  Survey of scheduling research involving due date determination decisions , 1989 .

[5]  James K. Weeks.  A Simulation Study of Predictable Due-Dates , 1979 .

[6]  Samuel Eilon,et al.  Minimising Waiting Time Variance in the Single Machine Problem , 1977 .

[7]  Gary D. Scudder,et al.  Sequencing with Earliness and Tardiness Penalties: A Review , 1990, Oper. Res..

[8]  Gary D. Scudder,et al.  On the Assignment of Optimal Due Dates , 1989 .

[9]  T. C. Edwin Cheng,et al.  An algorithm for the con due-date determination and sequencing problem , 1987, Comput. Oper. Res..

[10]  Jwm Will Bertrand,et al.  A comparison of due-date selection rules , 1981 .

[11]  S. S. Panwalkar,et al.  Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem , 1982, Oper. Res..

[12]  J. J. Kanet.  Minimizing the average deviation of job completion times about a common due date , 1981 .

[13]  James K. Weeks,et al.  A Methodology for Assigning Minimum Cost Due-Dates , 1977 .

[14]  Samuel Eilon,et al.  Due dates in job shop scheduling , 1976 .

[15]  Kenneth R. Baker,et al.  Job shop scheduling with modified due dates , 1983 .

[16]  Yih-Long Chang,et al.  MINIMIZING MEAN ABSOLUTE DEVIATION OF COMPLETION TIMES ABOUT A COMMON DUE DATE. , 1986 .

[17]  Mesbah U. Ahmed,et al.  Minimizing the sum of absolute lateness in single‐machine and multimachine scheduling , 1984 .

[18]  T.C.E. Cheng.  Optimal slack due-date determination and sequencing , 1986 .

[19]  C. R. Bector,et al.  Determination of an optimal common due date and optimal sequence in a single machine job shop , 1988 .

[20]  Jan Karel Lenstra,et al.  Sequencing and scheduling : an annotated bibliography , 1997 .

[21]  T.C.E. Cheng.  A DUALITY APPROACH TO OPTIMAL DUE-DATE DETERMINATION , 1985 .