ESTIMASI KEDATANGAN PELANGGAN DAN TRANSAKSI PESANAN RUMAH MAKAN MAHIRA MENGGUNAKAN RENEWAL-REWARD PROCESS

Authors

  • PIONITA MARETTI BR AMBARITA Universitas Udayana
  • KETUT GITA SEKARINI Universitas Udayana
  • TASSYA MURNI PASARIBU Universitas Udayana
  • WIRA PRANATA T. TAMBUN Universitas Udayana
  • MADE AYU DWI OCTAVANNY Universitas Udayana https://orcid.org/0000-0002-4902-3508

DOI:

https://doi.org/10.24843/MTK.2026.v15.i01.p499

Keywords:

renewal process, reward, transaksi, persamaan wald, Rumah Makan Mahira

Abstract

Random fluctuations in customer arrivals at restaurants often result in suboptimal operational planning based on subjective estimates. This study aims to estimate customer arrival patterns and transaction values at Mahira Jimbaran Restaurant using the renewal-reward process approach, as well as to calculate long-term revenue rates. The methods used include collecting primary data for 4 hours on Saturday, November 8, 2025 (1:00 p.m. to 5:00 p.m. Wita) by recording the time between arrivals and the transaction value per customer. The analysis was conducted by calculating the expected transaction value (E[R]), expected inter-arrival time (E[X]), and long-term reward rate using the Wald Equation. The results show an average transaction of IDR 23,808.99 per customer, an average inter-arrival time of 2.013 minutes, and a revenue rate of IDR 11,828.67 per minute. These quantitative estimates can be used as a basis for operational decision-making related to workforce scheduling, queue management, and raw material planning.

Author Biography

MADE AYU DWI OCTAVANNY, Universitas Udayana

Program Studi Matematika, Fakultas MIPA – Universitas Udayana

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Published

2026-04-15

How to Cite

AMBARITA, P. M. B., SEKARINI, K. G., PASARIBU, T. M., TAMBUN, W. P. T., & OCTAVANNY, M. A. D. (2026). ESTIMASI KEDATANGAN PELANGGAN DAN TRANSAKSI PESANAN RUMAH MAKAN MAHIRA MENGGUNAKAN RENEWAL-REWARD PROCESS. E-Jurnal Matematika, 15(1), 26–30. https://doi.org/10.24843/MTK.2026.v15.i01.p499

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