This study considers the job scheduling problem of minimizing the weighted waiting time variance (WWTV) of jobs. It is an extension of WTV minimization problems in which we schedule a batch of n jobs, for servicing on a single resource, in such a way that the variance of their waiting times is minimized. WWTV minimization finds its applications for job scheduling in manufacturing systems with e...

The problem of scheduling aircraft landings on one or more runways is an interesting problem that is similar to a machine job scheduling problem with sequence-dependent processing times and with earliness and tardiness penalties. The aim is to optimally land a set of planes on one or several runways in such a way that separation criteria between all pairs of planes (not just successive ones) ar...

In this paper, we propose n-jobs to be processed on Single Machine Scheduling Problem (SMSP) involving fuzzy processing time and fuzzy due dates. The different due dates for each job be considered which meet the demand of customer with more satisfaction level. The main objective of this paper is the total penalty cost to be minimum in the schedule of the jobs on the single machine. This cost is...

A hybrid technique using constraint programming and linear programming is applied to the problem of scheduling with earliness and tardiness costs. The linear model maintains a set of relaxed optimal start times which are used to guide the constraint programming search heuristic. In addition, the constraint programming problem model employs the strong constraint propagation techniques responsibl...

A single machine scheduling problem is described which covers earliness costs, tardiness costs and setup costs. Setups are needed whenever a switch is made to a job of another product family. All jobs within the same product family have the same processing time. Besides setup costs also setup times are involved. Idle time is allowed, preemption is not allowed. Both a mixed integer programming f...

The time-indexed formulation [3, 6] is a well-known way to formulate a singlemachine scheduling problem as a mixed-integer scheduling problem (MIP). It is based on time discretization: time is divided into unary periods (or time slots). The main advantage of this integer program is that the linear relaxation is very good. However, as the number of time-points is pseudo-polynomial in the size of...