ANTITHETIC BIAS REDUCTION FOR DISCRETE-EVENT SIMULATIONS

1987-05-01
DELIGONUL, ZS
This study presents a technique for reducing the bias induced by arbitrary initial conditions in some discrete simulation studies. The technique relies on compensating the existing bias in a run by purposely introducing a deviation in the counter-direction during the subsequent run. Specifically, after obtaining a sample with initial condition X0, an antithetic companion run is generated starting from (2X̄ - X0). This introduces an adjustment equal and opposite to the indicated deviation, as measured by the distance between the current sample mean X̄ and the initial condition X0. Then the overall mean has a significantly lower bias. Application of the technique to first-order autoregressive process and to a machine-repair system revealed that it is capable of reducing, and in most cases practically removing, the transient effects within moderate sample sizes.
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY

Suggestions

A metamodeling methodology involving both qualitative and quantitative input factors
Tunali, S; Batmaz, I (Elsevier BV, 2003-10-16)
This paper suggests a methodology for developing a simulation metamodel involving both quantitative and qualitative factors. The methodology mainly deals with various strategic issues involved in metamodel estimation, analysis, comparison, and validation. To illustrate how to apply the methodology, a regression metamodel is developed for a client-server computer system. In particular, we studied how the response time is affected by the quantum interval, the buffer size. and the total number of terminals whe...
Small Response Surface Designs for Metamodel Estimation
Batmaz, İnci (Elsevier BV, 2003-01-01)
The primary objective of this study is to provide the novice researchers in simulation metamodeling with guidance on how to use small designs for metamodel estimation especially when cost effectiveness is a concern. This study was carried out in three phases: First, a group of second-order small designs were evaluated with respect to various criteria. Next, the metamodel of a time-shared computer system was estimated using these designs. Finally, the predictive capabilities of these small designs in giving ...
The multi-resource agent bottleneck generalised assignment problem
Karsu, Ozlem; Azizoğlu, Meral (Informa UK Limited, 2012-01-01)
In this study, we consider the multi resource agent bottleneck generalised assignment problem. Our aim is to minimise the maximum load over all agents. We take our motivation from an assignment problem faced in heating, ventilating and air conditioning sector. We study the linear programming (LP) relaxation of the problem. We use the optimal LP relaxation solutions in our branch and bound algorithm while defining bounding and branching schemes. We find that our branch and bound algorithm returns optimal sol...
A flexible flowshop problem with total flow time minimization
Azizoğlu, Meral; Kondakci, S (Elsevier BV, 2001-08-01)
In this study, we consider total flow time problem in a flexible flowshop environment. We develop a branch and bound algorithm to find the optimal schedule. The efficiency of the algorithm is enhanced by upper and lower bounds and a dominance criterion. Computational experience reveals that the algorithm solves moderate sized problems in reasonable solution times.
A multicriteria sorting approach based on data envelopment analysis for R&D project selection problem
Karasakal, Esra (Elsevier BV, 2017-12-01)
In this paper, multiple criteria sorting methods based on data envelopment analysis (DEA) are developed to evaluate research and development (R&D) projects. The weight intervals of the criteria are obtained from Interval Analytic Hierarchy Process and employed as the assurance region constraints of models. Based on data envelopment analysis, two threshold estimation models, and five assignment models are developed for sorting. In addition to sorting, these models also provide ranking of the projects. The de...
Citation Formats
Z. DELIGONUL, “ANTITHETIC BIAS REDUCTION FOR DISCRETE-EVENT SIMULATIONS,” JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, pp. 431–437, 1987, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63841.