feat(optimization): schedule any number of flexible consumers

Replace the single hourly "dishwasher" home appliance with a list of
flexible consumers (home_appliances). Each consumer defines its load
either as an explicit power profile (energy-preservingly resampled onto
the optimization slot grid, incl. 15-min and non-integer interval ratios)
or the flat consumption_wh/duration_h fallback, and runs ONCE or DAILY
within its time windows and the optimization horizon.

- ConsumerScheduleMode + shared load-definition validation (XOR of
  profile/fallback, reject negative/NaN/inf, unique device_id)
- ApplianceGeneLayout: variable appliance gene block (index into
  allowed_start_slots), ONCE/DAILY calendar-day based, no snapping
- per-device output: result.home_appliance_energy_wh, appliance_starts
  (absolute local times), per-device solution columns and DDBC RUN/OFF
  instructions on state transitions only
- deprecate dishwasher/washingstart/Home_appliance_wh_per_hour with
  backward-compatible mapping and explicit conflict rejection
- max_home_appliances is now an upper bound only; no demo appliance and
  no on/off behaviour
- docs, openapi.json, CHANGELOG and optimize_result_2* fixtures updated;
  new tests/test_homeappliance.py covers the mandatory test matrix

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

docs/akkudoktoreos/optimauto.md

@@ -257,13 +257,14 @@ The GENETIC algorithm supports 4 devices:
 - **electric_vehicle**: An electric vehicle, basically the battery of an electric vehicle. The
   The electrical vehicle is optional.
 - **battery**: A battery that can be charged by the inverter. The battery is mandatory.
-- **home_appliance**: A home appliance, like a washing machine or a dish washer. The home
-  appliance is optional.
+- **home_appliance**: A flexible consumer, like a washing machine or a dish washer. Any number of
+  home appliances can be configured; each is scheduled independently. Home appliances are optional.
 
 :::{admonition} Warning
 :class: warning
-The GENETIC algorithm can only use the first inverter, electrical vehicle, battery, home appliance
-that is configured, even if more devices are configured.
+The GENETIC algorithm can only use the first inverter, electrical vehicle and battery that is
+configured, even if more devices are configured. Home appliances are the exception: all configured
+home appliances are scheduled.
 :::
 
 #### Inverter simulation configuration

docs/akkudoktoreos/optimpost.md

@@ -93,12 +93,15 @@ to `DISABLED` in the configuration.
         "initial_soc_percentage": 54,
         "min_soc_percentage": 0
     },
-    "dishwasher": {
-        "device_id": "dishwasher1",
-        "consumption_wh": 2000,
-        "duration_h": 3,
-        "time_windows": null
-    },
+    "home_appliances": [
+        {
+            "device_id": "dishwasher1",
+            "consumption_wh": 2000,
+            "duration_h": 3,
+            "schedule_mode": "ONCE",
+            "time_windows": null
+        }
+    ],
     "temperature_forecast": [
       18.3, 17.8, 16.9, 16.2, 15.6, 15.1, 14.6, 14.2, 14.3, 14.8, 15.7, 16.7, 17.4,
       18.0, 18.6, 19.2, 19.1, 18.7, 18.5, 17.7, 16.2, 14.6, 13.6, 13.0, 12.6, 12.2,

docs/akkudoktoreos/resource.md

@@ -193,28 +193,52 @@ indicates no power transfer. Intermediate values scale the power proportionally.
 
 ## Home Appliance
 
-The optimization algorithm supports one start of the home appliance within the optimization
-horizon.
+The optimization algorithm schedules any number of flexible consumers (home appliances). Each
+consumer has a unique `device_id` and is scheduled independently. The `schedule_mode` selects how
+often a consumer runs:
+
+- `ONCE` — a single run somewhere within the optimization horizon ("fire and forget").
+- `DAILY` — one run per local calendar day that still has a feasible complete run.
 
 ### Home Appliance Simulation
 
+Each consumer's load is described by the energy of a single complete run, resampled onto the
+optimization slot grid (hourly or 15-minute). Multiple consumers and multiple daily runs may
+overlap; their energy adds up.
+
 ### Home Appliance Configuration
 
-Home appliance to run within the optimization horizon.
+A consumer's load is defined **either** by an explicit power profile or by the flat
+`consumption_wh` + `duration_h` fallback (exactly one of the two).
+
+Two consumers, one defined by the flat fallback (runs once), one by an explicit 15-minute power
+profile that runs once per day:
 
 ```json
 [
   {
     "device_id": "dishwasher1",
     "consumption_wh": 2000,
-    "duration_h": 3
+    "duration_h": 3,
+    "schedule_mode": "ONCE"
+  },
+  {
+    "device_id": "washingmachine1",
+    "load_profile_power_w": [200, 2000, 1800, 100],
+    "load_profile_interval_seconds": 900,
+    "schedule_mode": "DAILY"
   }
 ]
 ```
 
-Home appliance to run within a time window of 5 hours starting at 8:00 every day and another time
-window of 3 hours starting at 15:00 every day. See
-[Time Window Sequence Configuration](configtimewindow-page) for more information.
+- `load_profile_power_w`: non-negative power values in watts describing one complete run. Each value
+  covers `load_profile_interval_seconds` (default: the configured optimization interval). The profile
+  is resampled energy-preservingly onto the optimization slot grid.
+- `consumption_wh` / `duration_h`: flat fallback used when no `load_profile_power_w` is given.
+
+A consumer may be restricted to run within a time window of 5 hours starting at 8:00 every day and
+another time window of 3 hours starting at 15:00 every day. The complete run must fit inside a
+single window. See [Time Window Sequence Configuration](configtimewindow-page) for more information.
 
 ```json
 [
@@ -240,8 +264,8 @@ window of 3 hours starting at 15:00 every day. See
 
 :::{admonition} Note
 :class: note
-The optimization algorithm always restricts to one start within the optimization horizon per
-energy management run.
+A `ONCE` consumer without any valid start (given its time windows and the horizon) is rejected. For
+`DAILY`, a calendar day without a feasible run simply gets no run for that day.
 :::
 
 ### Home Appliance Instructions