Reservation Capacity Cost Calculator
Compare booking limits under independent show-up probability and entered empty-capacity/denied-arrival costs.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Enumerate whole booking limits from capacity through your supplied maximum and select the smallest one minimizing the entered expected cost.
Attendance~Binomial(bookings,p); expected cost=empty cost E[(capacity−attendance)+]+excess cost E[(attendance−capacity)+]
Worked example
At show-up probability one, capacity bookings have no empty or excess attendance and minimize either nonnegative cost.
Assumptions and input details
Independent identical attendance with an entered probability, no group correlation, cancellations, rebooking, revenue or policy constraints. This is an illustrative cost model, not a real customer-admission decision or a service recommendation.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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