Abstract

During the past few years, the market for organic food has been experiencing rapid growth. However, the market demand for organic food typically fluctuates due to its seasonal nature and customized characteristics, and it remains fairly difficult to precisely forecast market demand prior to the selling season. Forecast bias usually creates inefficiency in an organic food producer’s production plan and results in a substantial amount of waste. Thus, this paper studies how much an organic food producer is likely to lose with a certain level of forecast bias and investigates whether forecast bias necessarily results in an improper production plan. Finally, we calculate the maximum potential profit loss rate when the organic food producer determines how much to produce based on his forecasted demand, which we believe will be instructive for organic food producers in making production decisions. The target problem is formulated by a newsvendor model and solved using a tolerant analysis approach. We find that an organic food producer can still find the optimal solution only if his forecast bias is under a certain threshold. However, if the organic food producer’s forecast bias is beyond the threshold, he will probably make a sub-optimal production decision and potentially experience a profit loss. Subsequently, we analytically calculate an organic producer’s maximum potential profit loss rate for any given level of forecast bias. Examples are employed to numerically illustrate the main findings.

Highlights

  • Due in part to an increase in public awareness of environmental issues and interest in healthy foods, the proportion of organic food buyers among the general public has been rapidly increasing over the past few years

  • Similar to the existing studies, we focus on reducing the waste of resources and selling opportunities in organic food production at a different situation that the demand forecast is not precise

  • Whereas similar research empirically or statistically studies the influence of forecast bias on the decision-making process, we study the problem using a method based on strict mathematical deductions; (2) the proposed newsvendor model with non-linear constraints is prohibitively difficult to solve, we analyze the model using a tolerance-analysis approach and arrive at several close-form solutions

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Summary

Introduction

Due in part to an increase in public awareness of environmental issues and interest in healthy foods, the proportion of organic food buyers among the general public has been rapidly increasing over the past few years. A newsvendor makes his decisions only using his forecasted demand (based on, e.g., historical data or market-trend analysis) rather than the exact value of the mean and derivation or a specific distribution type of the demand. From the cited studies, we do not provide pre-determined shape parameters of market demand (e.g., mean value, distribution or standard derivation) and study the OF producer’s optimal solutions with a known forecast bias. Whereas similar research empirically or statistically studies the influence of forecast bias on the decision-making process, we study the problem using a method based on strict mathematical deductions; (2) the proposed newsvendor model with non-linear constraints is prohibitively difficult to solve, we analyze the model using a tolerance-analysis approach and arrive at several close-form solutions.

OF Producer’s Sustainable Production Decision Model
Findings
Conclusions and Future Research
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